A cosmetics company fills its best-selling 8-ounce jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 8.1 ounces per jar. Uncontrollable factors in the process can shift the mean away from 8.1 and cause either underfill or overfill, both of which are undesirable. In such a case, the dispensing machine is stopped and recalibrated. Regardless of the mean amount dispense, the standard deviation of the amount dispensed always has value 0.22 ounce. A quality control engineer routinely selects 30 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 8.2 ounces and the sample standard deviation is 0.25 ounce. The quality control engineer must determine if there is sufficient evidence in the sample to indicate, at the 0.05 level of significance, that the machine should be recalibrated. Let u denote the mean amount of facial cream being dispensed. The engineer tests the hypotheses: Ho u = 8.l versus H1 u # 8.1. The value of the relevant test statistic equals: Select J The p-value equals: Select] The rejection region for the test is: [Select] The conclusion from the test is: Select]
A cosmetics company fills its best-selling 8-ounce jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 8.1 ounces per jar. Uncontrollable factors in the process can shift the mean away from 8.1 and cause either underfill or overfill, both of which are undesirable. In such a case, the dispensing machine is stopped and recalibrated. Regardless of the mean amount dispense, the standard deviation of the amount dispensed always has value 0.22 ounce. A quality control engineer routinely selects 30 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 8.2 ounces and the sample standard deviation is 0.25 ounce. The quality control engineer must determine if there is sufficient evidence in the sample to indicate, at the 0.05 level of significance, that the machine should be recalibrated. Let u denote the mean amount of facial cream being dispensed. The engineer tests the hypotheses: Ho u = 8.l versus H1 u # 8.1. The value of the relevant test statistic equals: Select J The p-value equals: Select] The rejection region for the test is: [Select] The conclusion from the test is: Select]
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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![A cosmetics company fills its best-selling 8-ounce jars of facial cream by an automatic dispensing
machine.
The machine is set to dispense a mean of 8.1 ounces per jar.
Uncontrollable factors in the process can shift the mean away from 8.1 and cause either underfill or
overfill, both of which are undesirable.
In such a case, the dispensing machine is stopped and recalibrated.
Regardless of the mean amount dispense, the standard deviation of the amount dispensed always
has value 0.22 ounce.
A quality control engineer routinely selects 30 jars from the assembly line to check the amounts
filled.
On one occasion, the sample mean is 8.2 ounces and the sample standard deviation is 0.25 ounce.
The quality control engineer must determine if there is sufficient evidence in the sample to
indicate, at the 0.05 level of significance, that the machine should be recalibrated.
Let
u denote the mean amount of facial cream being dispensed.
The engineer tests the hypotheses: Ho u = 8.1 versus H1:µ+ 8.1.
The value of the relevant test statistic equals: I Select J
The p-value equals: Select]
The rejection region for the test is:
Select ]
The conclusion from the test is: [Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5d54d8f-2ddd-4099-b405-f5ede043aab9%2Fde9515a3-fb10-4711-9672-676468177d92%2Fmotz5y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A cosmetics company fills its best-selling 8-ounce jars of facial cream by an automatic dispensing
machine.
The machine is set to dispense a mean of 8.1 ounces per jar.
Uncontrollable factors in the process can shift the mean away from 8.1 and cause either underfill or
overfill, both of which are undesirable.
In such a case, the dispensing machine is stopped and recalibrated.
Regardless of the mean amount dispense, the standard deviation of the amount dispensed always
has value 0.22 ounce.
A quality control engineer routinely selects 30 jars from the assembly line to check the amounts
filled.
On one occasion, the sample mean is 8.2 ounces and the sample standard deviation is 0.25 ounce.
The quality control engineer must determine if there is sufficient evidence in the sample to
indicate, at the 0.05 level of significance, that the machine should be recalibrated.
Let
u denote the mean amount of facial cream being dispensed.
The engineer tests the hypotheses: Ho u = 8.1 versus H1:µ+ 8.1.
The value of the relevant test statistic equals: I Select J
The p-value equals: Select]
The rejection region for the test is:
Select ]
The conclusion from the test is: [Select]
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